Georgian Mathematical Journal 12 (2005), No. 4, 727--742
Copyright Heldermann Verlag 2005
Nonexistence of Weak Solutions for the p-Degenerate Subelliptic Inequalities Constructed by Generalized Baouendi-Grushin Vector Fields
Pengcheng Niu
Dept. of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China
pengchengniu@yahoo.com.cn
Jingbo Dou
Dept. of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China
djb76@eyou.com
Huiqing Zhang
Dept. of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China
The purpose of this work is to study the nonexistence of weak solutions for p-degenerate subelliptic inequalities formed by the generalized Baouendi-Grushin vector fields. Also, we give the p-volume and p-area of the ball induced by the these vector fields.
Keywords: Polar coordinate, weak solution, nonexistence, fundamental solution.
MSC: 35R45, 35J60
[ Fulltext-pdf (236 KB)] for subscribers only.